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Finding the Fourth Proportional to 7,139.40, 10,694.70 and 4,057.80

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Solution

The fourth proportional to 7,139.40, 10,694.70 and 4,057.80 is: 6,078.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.40 : 10,694.70 = 4,057.80 : x
  2. Step 2: Convert to fraction form
    7,139.40/10,694.70 = 4,057.80/x
  3. Step 3: Cross multiply
    7,139.40x = 10,694.70 × 4,057.80
  4. Step 4: Simplify right side
    7,139.40x = 43,396,953.66
  5. Step 5: Solve for x
    x = 43,396,953.66/7,139.40
  6. Step 6: Final answer
    x = 6,078.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.